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f(z) is defined by the equations: f(z)=1 when y<0 and f(z)=4y when y>0, and C is the arc from z=-1-i to z=1+i along the curve y = x^3. The answer is given as 2+3i.
For C1 I get z=-x-ix^3, but the book says it is x+ix^3 (-1<x<0).
Identify the meaning of independent and dependent events. Calculate probabilities and joint probabilities of simple events. Explain the basic logic of probability theory
Question about Elliptic boundary value problem, Uxx means second derivative with respect to x, Uyy means second derivative with respect to y
Provide Description of Card Probability. What is the probability that exactly one suit is represented among these 8 cards? Exactly 2 suits?
In finding the average size of automobile tire that is purchased, the mean or median size might be a tire that does not exist. Therefore, one would want to know the size of tire bought most often.
Probability and chance A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box.
Solve each of the following initial value problems: Check to see if eigenvectors are multiples of the given eigenvectors.
What was the smallest possible number of people? What are all possible numbers of people?
The sign "I LOVE MATHEMATICS" is put on the wall of the mathematics building at South Central Carolina Technical College.
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Use an example for discussion.
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
Form each of the following: Plot the graphs of the equations you created:
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